Hölder condition and Lp space

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Hölder condition and Lp space

Hölder condition vs. Lp space

In mathematics, a real or complex-valued function f on d-dimensional Euclidean space satisfies a Hölder condition, or is Hölder continuous, when there are nonnegative real constants C, α, such that for all x and y in the domain of f. More generally, the condition can be formulated for functions between any two metric spaces. In mathematics, the Lp spaces are function spaces defined using a natural generalization of the ''p''-norm for finite-dimensional vector spaces.

Similarities between Hölder condition and Lp space

Hölder condition and Lp space have 7 things in common (in Unionpedia): Banach space, Bounded function, Functional analysis, Mathematics, Metric space, Norm (mathematics), Topological vector space.

Banach space

In mathematics, more specifically in functional analysis, a Banach space (pronounced) is a complete normed vector space.

Banach space and Hölder condition · Banach space and Lp space · See more »

Bounded function

In mathematics, a function f defined on some set X with real or complex values is called bounded, if the set of its values is bounded.

Bounded function and Hölder condition · Bounded function and Lp space · See more »

Functional analysis

Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. inner product, norm, topology, etc.) and the linear functions defined on these spaces and respecting these structures in a suitable sense.

Functional analysis and Hölder condition · Functional analysis and Lp space · See more »

Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

Hölder condition and Mathematics · Lp space and Mathematics · See more »

Metric space

In mathematics, a metric space is a set for which distances between all members of the set are defined.

Hölder condition and Metric space · Lp space and Metric space · See more »

Norm (mathematics)

In linear algebra, functional analysis, and related areas of mathematics, a norm is a function that assigns a strictly positive length or size to each vector in a vector space—save for the zero vector, which is assigned a length of zero.

Hölder condition and Norm (mathematics) · Lp space and Norm (mathematics) · See more »

Topological vector space

In mathematics, a topological vector space (also called a linear topological space) is one of the basic structures investigated in functional analysis.

Hölder condition and Topological vector space · Lp space and Topological vector space · See more »

The list above answers the following questions

What Hölder condition and Lp space have in common
What are the similarities between Hölder condition and Lp space

Hölder condition and Lp space Comparison

Hölder condition has 29 relations, while Lp space has 127. As they have in common 7, the Jaccard index is 4.49% = 7 / (29 + 127).

References

This article shows the relationship between Hölder condition and Lp space. To access each article from which the information was extracted, please visit:

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